Solve the Inequality for x x/-1-6<-5

$\frac{x}{- 1} - 6 < - 5$

Step 1

Simplify each term.

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$- 1 \cdot x - 6 < - 5$

Rewrite $- 1 \cdot x$ as $- x$ .

$- x - 6 < - 5$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Add $6$ to both sides of the inequality.

$- x < - 5 + 6$

Add $- 5$ and $6$ .

$- x < 1$

Step 3

Divide each term in $- x < 1$ by $- 1$ and simplify.

Divide each term in $- x < 1$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{1}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{1}{- 1}$

Divide $x$ by $1$ .

$x > \frac{1}{- 1}$

Simplify the right side.

Divide $1$ by $- 1$ .

$x > - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$

Solve the Inequality for x x/-1-6<-5

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